Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 617/99, 340/3453 quickly i.e. 209780/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 617/99, 340/3453 is 209780/3.
LCM(617/99, 340/3453) = 209780/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 617/99,340/3453
Formula to find LCM of Fractions is
LCM = LCM of Numerators/GCF of Denominators
As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators
In the given fractions LCM of Numerators means LCM of 617,340
Least Common Multiple of Numerators i.e. LCM of 617,340 is 209780.
GCF of Denominators means GCF of 99,3453 as per the given fractions.
GCF of 99,3453 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 617,340
Given numbers has no common factors except 1. So, there LCM is their product i.e 209780
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 617,340 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(617,340) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(617,340) x common factors =1 x 1 = 1
LCM(617,340) = ( 617 × 340 ) / 1
LCM(617,340) = 209780 / 1
LCM(617,340) = 209780
Lets's calculate GCF of 99,3453
3 | 99, 3453 |
33, 1151 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 209780/3
Therefore the LCM of Fractions 617/99,340/3453 is 209780/3
Factors of 99
List of positive integer factors of 99 that divides 99 without a remainder.
1,3,9,11,33,99
Factors of 3453
List of positive integer factors of 3453 that divides 3453 without a remainder.
1,3,1151,3453
Greatest Common Factor
We found the factors 99,3453 . The biggest common factor number is the GCF number.
So the greatest common factor 99,3453 is 3.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
1. How to find LCM in Fractions?
Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.
2. What is the LCM of Fractions for 617/99, 340/3453?
Answer: LCM of Numerators as per given numbers 617/99, 340/3453 is
LCM of Numerators i.e. for 617,340 is 209780
GCF of denominators i.e. for 99,3453 is 3.
Thus, LCM of Fractions is 209780/3.Finally, LCM of Fractions for 617/99, 340/3453 is 209780/3.